Least Common Multiple of 3863 and 3870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3863 and 3870 the smallest integer that is 14949810 that is divisible by both numbers.

Least Common Multiple (LCM) of 3863 and 3870 is 14949810.

LCM(3863,3870) = 14949810

LCM of 3863 and 3870

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3863 and 3870

LCM of 3863 and 3870 is 14949810

Least common multiple can be found by multiplying the highest exponent prime factors of 3863 and 3870. First we will calculate the prime factors of 3863 and 3870.

Prime Factorization of 3863


3863 3863
1

Prime factors of 3863 are 3863. Prime factorization of 3863 in exponential form is:

3863 = 38631

Prime Factorization of 3870


2 3870
3 1935
3 645
5 215
43 43
1

Prime factors of 3870 are 2, 3, 5,43. Prime factorization of 3870 in exponential form is:

3870 = 21×32×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3863 and 3870.

LCM(3863,3870) = 21×32×51×431×38631
LCM(3863,3870) = 14949810

Factors of 3863

List of positive integer factors of 3863 that divides 3863 without a remainder.

1, 3863

Factors of 3870

List of positive integer factors of 3870 that divides 3870 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870

Least Common Multiple of 3863 and 3870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3863 and 3870, than apply into the LCM equation.

GCF(3863,3870) = 1
LCM(3863,3870) = ( 3863 × 3870) / 1
LCM(3863,3870) = 14949810 / 1
LCM(3863,3870) = 14949810

Properties of LCM 3863 and 3870

(i) The LCM of 3870 and 3863 is associative

LCM of 3863 and 3870 = LCM of 3870 and 3863

Related Least Common Multiples of 3863

Related Least Common Multiples of 3870

Frequently Asked Questions on LCM of 3863 and 3870

1. What is the LCM of 3863 and 3870?

Answer: LCM of 3863 and 3870 is 14949810.

2. What are the Factors of 3863?

Answer: Factors of 3863 are 1, 3863. There are 2 integers that are factors of 3863. The greatest factor of 3863 is 3863.

3. What are the Factors of 3870?

Answer: Factors of 3870 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870. There are 24 integers that are factors of 3870. The greatest factor of 3870 is 3870.

4. How to Find the LCM of 3863 and 3870?

Answer:

Least Common Multiple of 3863 and 3870 = 14949810

Step 1: Find the prime factorization of 3863

3863 = 3863

Step 2: Find the prime factorization of 3870

3870 = 2 x 3 x 3 x 5 x 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 14949810 = 2 x 3 x 3 x 5 x 43 x 3863

Step 4: Therefore, the least common multiple of 3863 and 3870 is 14949810.